Notifications use conditionals the same way as within a template tag. to use {name} as an example, you would do the following:
{if name}{name}{/if}
{if name}{name}{/if}
This would show the value if one was entered and be disregarded if the field was left blank. However, you might want to also include a label.
{if name}Name: {name}{/if}
{if name}Name: {name}{/if}